Reviewing for the GRE physics subject test, I've frequently come across questions like: Given a distribution of discrete charges, (as shown in the diagram), determine the electric field at a given point r, (also shown in the diagram). Formula for the Electric Field from a Distribution of Charges The distribution of charges I've seen in sample questions have, so far, involved only finite numbers of point charges, so the electric field equation can be written as a sum: where is the distance from a charge contributing to the sum to the location where the electric field is being measured, q is the value of the particular charge, and u is the unit vector pointing from the contributing charge to the field measurement point. This can be separated into x and y components: where theta is the angle between the particular charge and the point where the field is being measured with respect to the x axis. Using these formulas, it's just a matter of summing up the contribution of each ...